On the attractivity of a class of homogeneous dynamic economic systems

  • Authors:

  • Weiye Li;Marek Rychlik;Ferenc Szidarovszky;Carl Chiarella

  • Affiliations:

  • Group T-7, MS B284, Los Alamos National Laboratory, Los Alamos, NM;Department of Mathematics, University of Arizona, Tucson, AZ;Systems and Industrial Engineering Department, University of Arizona, Tucson, AZ;School of Finance and Economics, University of Technology, Sydney, P.O. Box 123, Broadway, NSW 2007, Australia

  • Venue:
  • Nonlinear Analysis: Theory, Methods & Applications
  • Year:
  • 2003

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Abstract

The attractivity properties of the set of equilibria of a special class of homogeneous dynamic economic systems are examined. The nonlinearity of the models and the presence of eigenvalues with zero real parts make the application of the classical theory impossible. Some principles of the modern theory of dynamical systems and invariant manifolds are applied, and the local attractivity of the set of equilibria is verified under mild conditions. As an application, special labor-managed oligopolies are investigated.